Dynamical Friction and Resonance Capture in Planetary Systems; The Second-Order Partially Averaged System at Resonance

Details Dynamical Friction and Resonance Capture in Planetary Systems; The Second-Order Partially Averaged System at Resonance Dynamical Friction and Resonance Capture in Planetary Systems; The Second-Order Partially Averaged System at Resonance

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998dps....30.5524h&link_type=abstract

American Astronomical Society, DPS meeting #30, #55.P24; Bulletin of the American Astronomical Society, Vol. 30, p.1451

Astronomy and Astrophysics

Astronomy

Scientific paper

It has been shown that the dynamical friction caused by interplanetary medium can play an important role in stability of planetary orbits in the early stages of their evolutions [1,2]. Numerical integrations of a three-body system with Sun as the central star and two planets subject to dynamical friction, indicate that the system will be captured in resonance when the inner planet is more massive. As a result of this resonance trapping the eccentricities of both planets become constant. An analytical study of this system in the first order of approximation indicate that the resonance capture will occur for essentially all initial relative positions of the two planets [2]. In this paper, I present the results of an extension of this analysis to the second-order partially averaged system at resonance and discuss the dynamics of the system as well as the effect of dynamical friction on rate of change of orbital elements and also stability of the planetary orbits. [1] M.Melita and M.M.Woolfson , 1996 , MNRAS , 280, 854 . [2] N.Haghighipour , 1998 , Submitted for publication in MNRAS.

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